Hazard game

In the Sportka hazard game, 6 numbers out of 49 are drawn. What is the probability that we will win:

a) second prize (we guess 5 numbers correctly)
b) the third prize (we guess 4 numbers correctly)?

Correct result:

p1 =  0.0018 %
p2 =  0.0969 %

Solution:

C5(6)=(65)=6!5!(65)!=61=6 C1(43)=(431)=43!1!(431)!=431=43 C6(49)=(496)=49!6!(496)!=494847464544654321=13983816 n=49 o=6 s=no=496=43  p1=100 (o5) (s1)(no)=100 6 4313983816=0.0018%
C4(6)=(64)=6!4!(64)!=6521=15 C2(43)=(432)=43!2!(432)!=434221=903 p2=100 (o4) (s2)(no)=100 15 90313983816=0.0969%



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute count of combinations?

Next similar math problems:

  • The notebook
    notes After rising by 40%, the notebook cost 10.50 euros. How much did this notebook cost if it increased in price by only 20% instead of 40%?
  • Seasonal sale
    bicycle_gears The bike became cheaper on the seasonal sale by 22%, which is 88 euros. At what price is it sold now?
  • Clothes
    sveter CZK 2,400 cost clothes, a sweater by 150% than a T-shirt, trousers 2x more than a sweater, a jacket as a sweater and trousers together. What did the individual clothes cost?
  • Three groups
    workers_2 In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, in the third group CZK 25,000. The average salary
  • Two shops
    ski_1 In two different shops, the same skis had the same price. In the first, however, they first became more expensive by 20% and then cheaper by 5%. In the second, they were first cheaper by 5% and then more expensive by 30%, so after these adjustments in the
  • Tulips
    tulipany Of the 120 tulips in the garden, 45 are red, 66 are yellow, the rest are brindle. What percentage of tulips in the garden are brindle?
  • Fresh juice
    flasa The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells it in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the ju
  • Original plan
    zahrada Gardeners planted 16% more currant bushes than originally planned. In total, they planted x = 435 shrubs. What was the original plan?
  • Three colors
    balls2 Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
  • The recommended
    books The recommended price of the novel "Laughing Sun" is 285 SKK. The bookseller bought 60 pieces of the novel at the wholesale store and paid 82% of the recommended price (18% is his profit for selling books). For the recommended price, he sold 55 pieces of
  • Decibel
    tv_1 By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?
  • The hockey
    hokej The hockey player scored 6 goals from 15 shots. How many % was he successful?
  • Ace or king
    cards What is the probability that we will choose an ace or a king when choosing from a deck of sevens cards?
  • Natural fertilizer
    garden_1 The rectangular garden measuring 120m and 60m was fertilized with 16kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m2 of garden?
  • The water barrel
    sud_h2o_2 The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
  • Skis
    ski Skis, which cost € 800, became 25% more expensive before the season. After the season, they became cheaper again by 25%. How many euros did the skis cost after the discount?
  • Students
    test Students solve word problems. They received 3 points for each correctly solved task. Four points were deducted for a task that was not solved or incorrectly solved. Tomas solved a total of 15 tasks and scored 24 points. How many tasks did he solve correct